Results 11 to 20 of about 341,444 (262)

Ulam stability and data dependence for fractional differential equations with Caputo derivative [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case ...
JinRong Wang, Linli Lv, Yong Zhou
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Gaussian estimates for a heat equation on a network

Networks and Heterogeneous Media, 2006
We consider a diffusion problem on a network on whose nodes we impose Dirichlet and generalized, non-local Kirchhoff-type conditions. We prove well-posedness of the associated initial value problem, and we exploit the theory of sub-Markovian and ...
Delio Mugnolo
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Predicting Milling Stability Based on Composite Cotes-Based and Simpson’s 3/8-Based Methods

Micromachines, 2022
Avoiding chatter in milling processes is critical for obtaining machined parts with high surface quality. In this paper, we propose two methods for predicting the milling stability based on the composite Cotes and Simpson’s 3/8 formulas.
Xu Du, Pengfei Ren, Junqiang Zheng
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Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Advances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa   +3 more
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Stability and Convergence of Product Formulas for Operator Matrices [PDF]

, 2012
We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product formulas.
A. Bátkai, A. Bátkai, A. Bátkai, A. Bátkai, András Bátkai, Bálint Farkas, Ch. Tretter, E. Hairer, I. Faragó, K.J. Engel, Klaus-Jochen Engel, M. Bjørhus, P. Csomós, Petra Csomós, V. Casarino, W. Hundsdorfer   +15 more
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Time-Delay Synchronization and Anti-Synchronization of Variable-Order Fractional Discrete-Time Chen–Rossler Chaotic Systems Using Variable-Order Fractional Discrete-Time PID Control

Mathematics, 2021
In this research paper, we solve the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional-order differential equations. To guarantee the synchronization and anti-synchronization,
Joel Perez Padron, Jose Paz Perez, José Javier Pérez Díaz, Atilano Martinez Huerta   +3 more
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Nonlinear stability of oscillatory wave fronts in chains of coupled oscillators [PDF]

, 2004
We present a stability theory for kink propagation in chains of coupled oscillators and a new algorithm for the numerical study of kink dynamics.
A. Anderson, A. Carpio, A. Carpio, A. Carpio, A. Carpio, A. Tonnelier, D.A. Kessler, E. Gerde, E. Schrödinger, G. Fáth, J. Bafaluy, J. Bafaluy, J. Frenkel, L.I. Slepyan, L.L. Bonilla, M. Peyrard, M.J. Boussinesq, O. Kresse, O.M. Braun, P. Rosenau, P.C. Bressloff, R. Hobart, S. Flach, V.H. Schmidt, W. Atkinson   +24 more
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Asymptotic behaviour of mild solution of nonlinear stochastic partial functional equations

Nonlinear Analysis, 2019
This paper presents conditions to assure existence, uniqueness and stability for impulsive neutral stochastic integrodifferential equations with delay driven by Rosenblatt process and Poisson jumps.
Mamadou Abdoul Diop, Amour Toffodji Gbaguidi Amoussou, Carlos Ogouyandjou, Rathinasamy Sakthivel   +3 more
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Finite element approximation of Maxwell’s equations with Debye memory [PDF]

, 2010
Copyright © 2010 Simon Shaw. All rights reserved.This article has been made available through the Brunel Open Access Publishing Fund.Maxwell’s equations in a bounded Debye medium are formulated in terms of the standard partial differential equations of ...
Shaw, S
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Level set approach for fractional mean curvature flows [PDF]

, 2009
This paper is concerned with the study of a geometric flow whose law involves a singular integral operator. This operator is used to define a non-local mean curvature of a set.
Imbert, Cyril
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